Respuesta :

Answer:

  • 3 < y
  • y < -2

Step-by-step explanation:

1. -2y+7 < 1

Add 2y-1:

  6 < 2y

Divide by 2:

  3 < y

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2. 4y +3 < -5

Subtract 3:

  4y < -8

Divide by 4:

  y < -2

_____

These are graphed on the number line with open circles because y=-2 and y=3 are not part of the solution set.

Ver imagen sqdancefan
gmany

Answer:

y < -2 or y > 3

Step-by-step explanation:

[tex](1)\\\\-2y+7<1\qquad\text{subtract 7 from both sides}\\-2y+7-7<1-7\\-2y<-6\qquad\text{change the signs}\\2y>6\qquad\text{divide both sides by 2}\\\boxed{y>3}\\\\(2)\\\\4y+3<-5\qquad\text{subtract 3 from both sides}\\4y+3-3<-5-3\\4y<-8\qquad\text{divide both sides by 4}\\\boxed{y<-2}\\\\\text{From (1) and (2) we have:}\ y<-2\ or\ y>3[/tex]

[tex]<,\ >-\text{op}\text{en circle}\\\leq,\ \geq-\text{closed circle}[/tex]

Ver imagen gmany